If the longer side is the height of the prism, what is the total surface. Therefore, 84 square feet of cloth is required for a tent. A triangular-base prism is made up of three rectangles of the same size, 4cm x 7cm. Since the kaleidoscope is in the shape of a triangular prism, we can use the formula for the surface area to find its height.ĥ76 = 9 \(\times\) 7.8 + (9 + 9 + 9)H ĥ76 – 70.2 = (27)H It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. A triangle has an area of 35 square inches, and its base is 3 inches more than its height. The surface area of the kaleidoscope is 576 \(cm^2\), and its base height is 7.8 cm. A triangle with an area of 12 cm2, has its base and height given as 2x + 2 and x respectively. Note that this formula works for both right and oblique prisms. Step 3: The volume of the given triangular prism base area × length 93 × 15 1353 cubic inches. Step 2: The length of the prism is 15 in. So its area is found using the formula, 3a 2 /4 3 (6) 2 /4 93 square inches. The SI unit of surface area is: s q u a r e m e t e r ( m 2) Area Unit Converter. Step 1: The base triangle is an equilateral triangle with its side as a 6. where B represents the area of a base and h represents the height of the prism. The formula for determining the surface area of a hexagonal prism is defined as: S A 6 a h + 3 3 a 2. Total Surface Area Lateral Area Area of Bases+2 11( )( ) ( )( ) + +72 34 34. Solve this equation using the quadratic formula to obtain. Note that this is a quadratic equation in terms of r. Bring all terms in this equation to one side to get 2r² + 2rh - A 0. Hence, the surface area of a triangular prism is 264 square centimeters.Ĭathy recently purchased a new triangular kaleidoscope in which the sides are 9 cm long. The total surface area of the triangular prism is the lateral area plus the area of the two bases. Substitute the height h into the surface area of a cylinder equation: A 2r² + 2rh. Surface area of a triangular prism = bh + (a + b + c)H We can find the surface area of the triangular prism by applying the formula, The height of the triangular prism is H = 15 cm The base and height of the triangular faces are b = 6 cm and h = 4 cm. Find the surface area of the triangular prism with the measurements seen in the image.įrom the image, we can observe that the side lengths of the triangle are a = 5 cm, b = 6 cm and c = 5 cm.
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